Derivation rules Flashcards

1
Q
  • P

* P

A

Reiteration (R)

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2
Q
  • P & Q

* P

A

Conjunction Elimination (&E)

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3
Q
  • P
  • Q
  • P & Q
A

Conjunction Introduction (&I)

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4
Q
  • P

* P v Q

A

Disjunction Introduction (vI)

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5
Q
  • P > Q
  • P
  • Q
A

Conditional Elimination (>E)

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6
Q
  • P /// Q
  • P
  • Q
A

Biconditional Elimination (///E)

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7
Q
  • |P
  • | Q
  • P > Q
A

Conditional Introduction (>I)

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8
Q
  • |P
  • | Q
  • | ~Q
  • ~P
A

Negation introduction (~I)

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9
Q
  • |~P
  • | Q
  • | ~Q
  • p
A

Negation Elimination (~E)

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10
Q
  • P v Q
  • |P
  • | R
  • |Q
  • | R
  • R
A

Disjunction Elimination (vE)

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11
Q

&

A

Conjunction

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12
Q

V

A

Disjunction

“or”

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13
Q

>

A

Conditional

“if… then”

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14
Q

<>
or
///

A

Biconditional

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